We address a novel approach for stochastic individual-based modelling of a single species population. Individuals are distinguished by their remaining lifetimes, which are regulated by the interplay between the inexorable running of time and the individual’s nourishment history. A food-limited environment induces intraspecific competition and henceforth the carrying capacity of the medium may be finite, often emulating the qualitative features of logistic growth. Inherently non-logistic behaviour is also obtained by suitable change of the few parameters involved, composing a wide variety of dynamical features. Some analytical results are obtained. Beyond the rich phenomenology observed, we expect that possible modifications of our model may account for an even broader scope of collective population growth phenomena.

我们针对单个物种的随机个体建模提出了一种新方法。个体的剩余寿命与众不同，个体的剩余寿命由无休止的时间流逝与个体的营养史之间的相互作用所调节。有限的食物环境会引起种内竞争，因此，培养基的承载能力可能是有限的，常常模仿逻辑生长的定性特征。固有的非逻辑行为也可以通过适当改变所涉及的几个参数来获得，这些参数构成了各种各样的动力学特征。获得了一些分析结果。除了观察到的丰富现象外，我们还希望对模型进行可能的修改可能会导致集体人口增长现象的范围更加广泛。